论分层集合上谐函数的可移动奇点

IF 0.5 4区数学 Q3 MATHEMATICS

Doklady Mathematics Pub Date : 2024-09-29 DOI:10.1134/S1064562424601379

N. S. Dairbekov, O. M. Penkin, D. V. Savasteev

引用次数: 0

摘要

我们考虑在具有平坦内层的分层集合上有界谐函数的可移动集合。证明了有限 Hausdorff \((n-2)\)度量的相对闭集对于满足强坚固性条件的 n 维分层集合上的有界谐函数是可移动的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Removable Singularities of Harmonic Functions on a Stratified Set

We consider sets removable for bounded harmonic functions on a stratified set with flat interior strata. It is proved that relatively closed sets of finite Hausdorff \((n - 2)\)-measure are removable for bounded harmonic functions on an n-dimensional stratified set satisfying the strong sturdiness condition.

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来源期刊

Doklady Mathematics 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3-6 weeks

期刊介绍： Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.